document.write( "Question 475401: What point is the intersection of the graphs of x2 + y2 = 34 and x2 -4y = 13?
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Algebra.Com's Answer #326002 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,
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document.write( "What point is the intersection of the graphs: 
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document.write( "x^2 + y^2 = 34   circle C(0,0) and radius = sqrt(34) 
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document.write( "x^2 -4y = 13 OR y = .25x^2 - 13/4  Parabola opening upward V(0,-3.25)
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document.write( "algebraically:  substituting (13+4y) for x^2
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document.write( "13+4y + y^2 = 34
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document.write( "  y^2 + 4y -21 = (y + 7)(y-3)  |tossing out y = -7 as Extraneous
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document.write( "y = 3 then x^2 = 25 , x = ą 5
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document.write( "Graphs: parbola and circle intersect at:( 5,3) and (-5,3)
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document.write( "Standard Form of an Equation of a Circle is  
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document.write( "where Pt(h,k) is the center and r is the radius\r
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document.write( " Standard Form of an Equation of an Ellipse is 
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document.write( "where Pt(h,k) is the center and a and b  are the respective vertices distances from center.\r
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document.write( "Standard Form of an Equation of an Hyperbola opening right and  left is:
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document.write( "   where Pt(h,k) is a center  with vertices 'a' units right and left of center.
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document.write( "Standard Form of an Equation of an Hyperbola opening up and down is:
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document.write( "   where Pt(h,k) is a center  with vertices 'b' units up and down from center.\r
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document.write( "The vertex form of a parabola opening up or down,  where(h,k) is the vertex.
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document.write( "The standard form is , where  the focus is (h,k + p)\r
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document.write( "The vertex form of a parabola opening right or left,  where(h,k) is the vertex.
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document.write( "The standard form is , where  the focus is (h +p,k )
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